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Finding the Fourth Proportional to 972.18, 1,341.09 and 676.94

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Solution

The fourth proportional to 972.18, 1,341.09 and 676.94 is: 933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.18 : 1,341.09 = 676.94 : x
  2. Step 2: Convert to fraction form
    972.18/1,341.09 = 676.94/x
  3. Step 3: Cross multiply
    972.18x = 1,341.09 × 676.94
  4. Step 4: Simplify right side
    972.18x = 907,837.46
  5. Step 5: Solve for x
    x = 907,837.46/972.18
  6. Step 6: Final answer
    x = 933.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.